Lagrange reduction - rank and signature

Can anyone explain in more simple terms what rank and signature mean in terms of quadratics in x,y,z in lagrange reductions. My lecturers notes arent too clear and I missed this section. I can do the computation but i dont get what the rank and signature mean? something about the radicals of the squares i assume?

Can anyone explain in more simple terms what rank and signature mean in terms of quadratics in x,y,z in lagrange reductions. My lecturers notes arent too clear and I missed this section. I can do the computation but i dont get what the rank and signature mean? something about the radicals of the squares i assume?

Perhaps you could post your notes so we can see these terms being used in context?

I feel stupid now lol, I was over complicating it far too much! I was thinking my signature was the individual squares i.e. z^2 y^2 etc, thanks for clearing this up

Yes well... thinking intuitively I would assume that the rank and signature for an expression should be the same whether you multiply it out or not. I'm not really familiar with the material, but it seems to be the case that the rank and signature only apply once you have factorised fully.